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Finding the Fourth Proportional to 212,777.18, 319,176.71 and 55,007

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Solution

The fourth proportional to 212,777.18, 319,176.71 and 55,007 is: 82,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,777.18 : 319,176.71 = 55,007 : x
  2. Step 2: Convert to fraction form
    212,777.18/319,176.71 = 55,007/x
  3. Step 3: Cross multiply
    212,777.18x = 319,176.71 × 55,007
  4. Step 4: Simplify right side
    212,777.18x = 17,556,953,011.94
  5. Step 5: Solve for x
    x = 17,556,953,011.94/212,777.18
  6. Step 6: Final answer
    x = 82,513.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.